Hi
I am going on a campaign of increasing UPS deployment and runtime. I am using Li-ion 12V UPSs instead of the supplied 12V D.C power bricks that came with my WAPs, so now each WAP is independently UPSed and without the inefficiency if having to generate 240V AC mains only to then immediately throw it away down-converting to 12V DC
You still get similar loses just in the opposite direction, as 4.5 volts from the lithium battery needs to be boosted up to 12 volts. Efficiency isn't the deciding factor on a UPS but reliability, safety and run-time, it matters little if it is 95% efficient or 60% efficient for the odd time it's needed.
Also I wouldn't trust those plugged in all the time, lithium batteries can explode and catch fire, especially ones in devices that probably don't have proper CE approval, also the lithium cell will have lost around 50% of its capacity after a couple of years if not sooner even if never used just being sat in the adaptor constantly warm and constantly being topped up, which is something lithium cells are not designed for and hate, and they are non-replaceable, so just throw the whole thing away after a couple of years! Also you have no idea on the quality of the switch mode power supply in that adaptor, I doubt it is anywhere near as efficient or safe as the original one supplied with the equipment, and I suspect your equipment is more at risk of damage from the mains than it would be on the supplied adaptor.
There is a reason that lead acid batteries are used in standby equipment like UPS, they are safe and reliable.
Don't forget a proper UPS will protect the equipment against dangerous surges and over voltages by disconnecting the equipment from the mains immediately the mains goes 'out of spec', that will not be happening in those adaptors.
If thought about and planned it isn't too difficult to get a single UPS to power all the necessary equipment. Mine powers my main computer, a VoIP phone, router, switch, ONT. I've had power cuts whilst working away and only known about it because I've heard the UPS fire itself up and start beeping at me.
Regards
Phil